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As the parameters of a map are varied an attractor may vary continuously in the Hausdorff metric. The purpose of this paper is to explore the continuation of chaotic attractors. We argue that this is not a helpful concept for smooth…

Dynamical Systems · Mathematics 2019-07-01 Paul A. Glendinning , David J. W. Simpson

We study a two-parameter family of one-dimensional maps and related (a,b)-continued fractions suggested for consideration by Don Zagier. We prove that the associated natural extension maps have attractors with finite rectangular structure…

Dynamical Systems · Mathematics 2010-04-26 Svetlana Katok , Ilie Ugarcovici

In practical applications, the efficacy of a control algorithm relies critically on the accurate knowledge of the parameters and states of the underlying system. However, obtaining these quantities in practice is often challenging. Adaptive…

Systems and Control · Electrical Eng. & Systems 2025-11-18 Anchita Dey , Soutrik Bandyopadhyay , Shubhendu Bhasin

It is widely recognized that the existing parameter estimators and adaptive controllers for robot manipulators are extremely complicated to be of practical use. This is mainly due to the fact that the existing parameterization includes the…

Dynamical Systems · Mathematics 2021-06-16 Jose Guadalupe Romero , Romeo Ortega , Alexey Bobtsov

The synthesis of antenna arrays in presence of mutual coupling using generalized scattering matrices in terms of characteristic modes is proposed. For the synthesis, the array is built of synthetic elements that are described by their modal…

Signal Processing · Electrical Eng. & Systems 2025-01-07 Leonardo Mörlein , Dirk Manteuffel

We provide a new algorithm (called the grid algorithm) designed to generate the image of the attractor of a generalized iterated function system on a finite dimensional space and we compare it with the deterministic algorithm regarding…

Dynamical Systems · Mathematics 2019-05-24 Radu Miculescu , Alexandru Mihail , Silviu-Aurelian Urziceanu

In this paper, we study incremental LTLf synthesis -- a form of reactive synthesis where the goals are given incrementally while in execution. In other words, the protagonist agent is already executing a strategy for a certain goal when it…

Artificial Intelligence · Computer Science 2026-03-03 Giuseppe De Giacomo , Yves Lespérance , Gianmarco Parretti , Fabio Patrizi , Moshe Y. Vardi

An efficient numerical algoritm is proposed for the calculation of the modified L\"uscher zeta-function in the presence of a long-range force. Using the formalism developed in Ref.~\cite{Bubna:2024izx} for the analysis of synthetic data on…

High Energy Physics - Lattice · Physics 2025-07-25 Rishabh Bubna , Hans-Werner Hammer , Bai-Long Hoid , Jin-Yi Pang , Akaki Rusetsky , Jia-Jun Wu

Temporal synthesis attempts to construct reactive programs that satisfy a given declarative (LTL) formula. Practitioners have found it challenging to work exclusively with declarative specifications, and have found languages that combine…

Logic in Computer Science · Computer Science 2021-07-05 Shaun Azzopardi , Nir Piterman , Gerardo Schneider

We study three kinetic Langevin samplers including the Euler discretization, the BU and the UBU splitting scheme. We provide contraction results in $L^1$-Wasserstein distance for non-convex potentials. These results are based on a carefully…

Probability · Mathematics 2025-08-20 Katharina Schuh , Peter A. Whalley

We introduce a new technique for solving uni-parametric versions of linear programs, convex quadratic programs, and linear complementarity problems in which a single parameter is permitted to be present in any of the input data. We…

Optimization and Control · Mathematics 2022-03-25 Nathan Adelgren

The randomized linear combination of unitaries (LCU) method with many applications to early fault-tolerant quantum computing algorithms has been proposed. This quantum algorithm computes the same expectation values as the original, fully…

Quantum Physics · Physics 2026-02-16 Kaito Wada , Hiroyuki Harada , Yasunari Suzuki , Yuuki Tokunaga , Naoki Yamamoto , Suguru Endo

Chaotic bursting behaviors have been observed by many authors in neural dynamics mainly in the transition between different kinds of bursting behavior. As a well-known three-dimensional ODEs model with various bursting solutions, the…

Dynamical Systems · Mathematics 2025-11-26 Mohammadreza Razvan , Sheida Shahidi

In this Letter, we derive a sufficient condition of synchronizing limit sets (attractors and repellers) by using the linear feedback control technique proposed here. There examples are included. The numerical simulations and computer…

Chaotic Dynamics · Physics 2007-05-23 Changpin Li , Weihua Deng

We develop an assume-guarantee framework for control of large scale linear (time-varying) systems from finite-time reach and avoid or infinite-time invariance specifications. The contracts describe the admissible set of states and controls…

Systems and Control · Electrical Eng. & Systems 2020-02-18 Kasra Ghasemi , Sadra Sadraddini , Calin Belta

We extend the feature selection methodology to dependent data and propose a novel time series predictor selection scheme that accommodates statistical dependence in a more typical i.i.d sub-sampling based framework. Furthermore, the…

Methodology · Statistics 2019-05-21 Avleen S. Bijral

Understanding the structure of the global attractor is crucial in the field of dynamical systems, where Morse decompositions provide a powerful tool by partitioning the attractor into finitely many invariant Morse sets and gradient-like…

Dynamical Systems · Mathematics 2025-07-16 István Balázs , Ábel Garab , Teresa Rauscher

The framework of linear parameter-varying (LPV) systems has shown to be a powerful tool for the design of controllers for complex nonlinear systems using linear tools. In this work, we derive novel methods that allow to synthesize LPV…

Systems and Control · Electrical Eng. & Systems 2025-07-01 Chris Verhoek , Roland Tóth , Hossam S. Abbas

Starting from a unitary, Lorentz invariant two-particle scattering amplitude , we show how to use an identification and replacement process to construct a unique, unitary particle-antiparticle amplitude. This process differs from…

Nuclear Theory · Physics 2015-06-26 James Lindesay , H. Pierre Noyes

We developed a least squares fitter used for extracting expected physics parameters from the correlated experimental data in high energy physics. This fitter considers the correlations among the observables and handles the nonlinearity…

High Energy Physics - Experiment · Physics 2013-11-15 Yinghui Guan , Xiao-Rui Lu , Yangheng Zheng , Yong-Sheng Zhu